QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#438910 | #8770. Comparator | ZSH_ZSH# | AC ✓ | 146ms | 8072kb | C++14 | 4.1kb | 2024-06-11 11:37:12 | 2024-06-11 11:37:13 |
Judging History
answer
#include<bits/stdc++.h>
#define rep(i,a,b) for (int i=(a);i<=(b);i++)
#define drep(i,a,b) for (int i=(a);i>=(b);i--)
typedef long long ll;
using namespace std;
#define fir first
#define sec second
int main()
{
ios::sync_with_stdio(false); cin.tie(0);
int n,k; cin>>n>>k;
vector<int> ret(4*k*k,-1);
auto id=[&](int p,int x,int q,int y)
{
return (x*k+p)*(2*k)+(y*k+q);
};
vector<array<int,4> > ord;
rep(wtf,0,n-1)
{
int a,b,r;
string s;
cin>>a>>b>>s>>r; a--,b--;
int len=s.size();
vector<int> mat(len),stk;
rep(i,0,len-1)
{
if (s[i]=='(') stk.push_back(i);
else if (s[i]==')')
{
assert(stk.size());
mat[stk.back()]=i;
mat[i]=stk.back();
stk.pop_back();
}
else mat[i]=i;
}
auto isop=[&](int p) -> int
{
char c=s[p];
return c=='^'||c=='&'||c=='|'||c=='=';
};
auto dc=[&](auto &&self,int l,int r) -> array<int,4> // x*2+y
{
assert(l<=r);
if (l==r)
{
char c=s[l];
if (c=='0') return {0,0,0,0};
if (c=='1') return {1,1,1,1};
if (c=='x') return {0,0,1,1};
if (c=='y') return {0,1,0,1};
assert(0);
}
if (s[l]=='('&&mat[l]==r) return self(self,l+1,r-1);
vector<array<int,4> > f;
vector<char> op;
for (int i=l;i<=r;i++)
{
if (s[i]=='!')
{
int j=i;
while (j+1<=r&&s[j+1]=='!') j++;
int c=(i-j+1)&1;
f.push_back(self(self,j+1,mat[j+1]));
if (c) rep(k,0,3) f.back()[k]^=1;
i=mat[j+1];
continue;
}
if (isop(i)) op.push_back(s[i]);
else
{
f.push_back(self(self,i,mat[i]));
i=mat[i];
}
}
// =
{
assert(f.size()==op.size()+1);
vector<array<int,4> > nf;
vector<char> nop;
nf.push_back(f[0]);
f.erase(f.begin());
rep(i,0,(int)f.size()-1)
{
if (op[i]=='=') rep(j,0,3) nf.back()[j]=(nf.back()[j]==f[i][j]);
else nf.push_back(f[i]),nop.push_back(op[i]);
}
swap(f,nf);
swap(op,nop);
}
// &
{
assert(f.size()==op.size()+1);
vector<array<int,4> > nf;
vector<char> nop;
nf.push_back(f[0]);
f.erase(f.begin());
rep(i,0,(int)f.size()-1)
{
if (op[i]=='&') rep(j,0,3) nf.back()[j]=(nf.back()[j]&f[i][j]);
else nf.push_back(f[i]),nop.push_back(op[i]);
}
swap(f,nf);
swap(op,nop);
}
// |
{
assert(f.size()==op.size()+1);
vector<array<int,4> > nf;
vector<char> nop;
nf.push_back(f[0]);
f.erase(f.begin());
rep(i,0,(int)f.size()-1)
{
if (op[i]=='|') rep(j,0,3) nf.back()[j]=(nf.back()[j]|f[i][j]);
else nf.push_back(f[i]),nop.push_back(op[i]);
}
swap(f,nf);
swap(op,nop);
}
// ^
{
assert(f.size()==op.size()+1);
vector<array<int,4> > nf;
vector<char> nop;
nf.push_back(f[0]);
f.erase(f.begin());
rep(i,0,(int)f.size()-1)
{
if (op[i]=='^') rep(j,0,3) nf.back()[j]=(nf.back()[j]^f[i][j]);
else nf.push_back(f[i]),nop.push_back(op[i]);
}
swap(f,nf);
swap(op,nop);
}
assert(f.size()==1);
return f[0];
};
auto f=dc(dc,0,len-1);
rep(s,0,3) if (f[s])
{
int i=s>>1,j=s&1,k=id(a,i,b,j);
if (ret[k]!=-1) continue;
ret[k]=r;
ord.push_back({a,i,b,j});
}
}
int bad; cin>>bad;
vector<vector<int> > a(1<<k,vector<int>(k));
rep(s,0,(1<<k)-1) rep(i,0,k-1) a[s][i]=(s>>i)&1;
auto cmp=[&](int x,int y) -> int
{
for (auto it:ord)
{
int i=it[0],p=it[1],j=it[2],q=it[3];
if (a[x][i]==p&&a[y][j]==q) return ret[id(i,p,j,q)];
}
return bad;
};
vector<vector<int> > f(1<<k,vector<int>(1<<k));
rep(i,0,(1<<k)-1) rep(j,0,(1<<k)-1) f[i][j]=cmp(i,j);
vector<bitset<1<<10> > g(1<<k);
rep(i,0,(1<<k)-1) rep(j,0,(1<<k)-1) if (f[i][j]) g[i][j]=1;
int ans1=0,ans2=0;
ll ans3=0;
rep(i,0,(1<<k)-1) if (f[i][i]==1) ans1++;
rep(i,0,(1<<k)-1) rep(j,0,(1<<k)-1) if (f[i][j]==1&&f[j][i]==1) ans2++;
rep(i,0,(1<<k)-1) rep(j,0,(1<<k)-1) if (f[i][j]==1)
{
ans3+=(g[j]&(~g[i])).count();
}
printf("%d %d %lld\n",ans1,ans2,ans3);
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3628kb
input:
3 2 1 1 (x=0)&(y=1) 1 1 1 (x=1)&(y=(x^x)) 0 2 2 (x=1)|(y=0) 0 1
output:
0 0 0
result:
ok single line: '0 0 0'
Test #2:
score: 0
Accepted
time: 0ms
memory: 3816kb
input:
4 3 2 1 x=0&(y=1) 1 1 2 !x^!!y 0 2 3 ((x|1)=y)&1&1 1 3 1 !x&!x&!x 0 1
output:
3 25 52
result:
ok single line: '3 25 52'
Test #3:
score: 0
Accepted
time: 47ms
memory: 3868kb
input:
1413 3 1 3 0 0 3 3 !x 0 2 2 x=0 1 1 2 !y^0 1 2 3 (x^1) 0 3 2 ((!0)) 1 1 1 !!1=(y) 0 2 2 !(1^x)&y 1 3 2 (y)&1|!!1 0 3 1 !x=(y&y=y) 0 2 1 (((!1)^!x)) 1 2 3 !0=(0&y)=1&y 0 1 2 ((((!0)))|!1) 0 3 1 !(y=!1=x|(!x)) 0 1 1 ((((y=!y)))&!0) 0 2 3 ((y=1)^!1^!!1|0) 1 2 3 1|(!x)&!x|1|(x=1) 1 2 3 !0^!!!!y&0=(!1&!0...
output:
4 16 0
result:
ok single line: '4 16 0'
Test #4:
score: 0
Accepted
time: 146ms
memory: 7616kb
input:
181737 10 5 2 1 1 1 10 !1=!x 0 10 1 (1^x) 0 2 4 !1 1 10 8 y=(!1)^1 1 6 2 !((x&!x)) 1 1 10 !!((!x)|x) 1 7 10 (((0))) 0 7 3 !(1)^!x 0 10 4 (!1)&x 0 7 7 !y&!0 1 8 8 !1=(x)|1^1 1 2 6 ((!!!x)) 0 7 2 1 1 2 2 y=1=0 0 6 3 (!0) 0 6 4 0 0 1 1 (!1) 1 1 8 y 1 3 5 !x|!x^!1 0 4 7 (!0) 0 3 4 !1&1&!1|!0 1 2 7 ((0|1...
output:
1024 1048576 0
result:
ok single line: '1024 1048576 0'
Test #5:
score: 0
Accepted
time: 4ms
memory: 8072kb
input:
1 3 1 1 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!...
output:
4 16 0
result:
ok single line: '4 16 0'
Test #6:
score: 0
Accepted
time: 0ms
memory: 3736kb
input:
1 1 1 1 x^y|1 0 1
output:
1 1 0
result:
ok single line: '1 1 0'
Test #7:
score: 0
Accepted
time: 0ms
memory: 3824kb
input:
1 1 1 1 x&y|1 0 1
output:
0 0 0
result:
ok single line: '0 0 0'
Test #8:
score: 0
Accepted
time: 0ms
memory: 3728kb
input:
1 1 1 1 x=y|1 0 1
output:
0 0 0
result:
ok single line: '0 0 0'
Test #9:
score: 0
Accepted
time: 0ms
memory: 3788kb
input:
2 2 1 2 !x&!y 1 1 1 !x&y 0 1
output:
4 12 2
result:
ok single line: '4 12 2'
Test #10:
score: 0
Accepted
time: 9ms
memory: 7748kb
input:
2 10 9 8 ((((!((!x=1))^(!1&(x|x|!y))&((!y&!x=(x=y)))&!((((x=1))&(0=(y))^(!!(!!x^1=x)&(x)^y&1=!x&1=(((!0^(1)^1))^!(((((y))|x|!y))))^!!0=!y&(0)|(y=x&!y&y=x)))=((((!!y&!!0|!0^!0)=!x))))^0&(((!1=!(!x)))|(((((x=1|!y|y)=(!1^1^0^(0)))=!0^1)))=(!(!1^(((((!1)^!x^0))))=(1)^((((y=((x))|(0)|(!1^1)))|(!!!y))=((!...
output:
0 0 0
result:
ok single line: '0 0 0'
Test #11:
score: 0
Accepted
time: 0ms
memory: 3816kb
input:
4 3 1 1 !!!!!!x 0 2 1 !!y 1 1 2 !!!!!x 1 2 2 !!!x 0 1
output:
4 16 0
result:
ok single line: '4 16 0'
Test #12:
score: 0
Accepted
time: 2ms
memory: 4732kb
input:
1 1 1 1 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((...
output:
1 1 0
result:
ok single line: '1 1 0'
Test #13:
score: 0
Accepted
time: 116ms
memory: 7620kb
input:
200000 10 3 10 !x^!y 1 3 10 !x^!y 1 3 10 !x^!y 1 3 10 !x^!y 1 3 10 !x^!y 1 3 10 !x^!y 1 3 10 !x^!y 1 3 10 !x^!y 1 3 10 !x^!y 1 3 10 !x^!y 1 3 10 !x^!y 1 3 10 !x^!y 1 3 10 !x^!y 1 3 10 !x^!y 1 3 10 !x^!y 1 3 10 !x^!y 1 3 10 !x^!y 1 3 10 !x^!y 1 3 10 !x^!y 1 3 10 !x^!y 1 3 10 !x^!y 1 3 10 !x^!y 1 3 10...
output:
512 262144 134217728
result:
ok single line: '512 262144 134217728'
Test #14:
score: 0
Accepted
time: 0ms
memory: 3824kb
input:
10 3 3 1 (!x) 1 3 2 !1&x&1&!y 1 2 1 ((x)&y) 1 1 3 0 0 2 2 !1&0=y&0 1 3 3 (!y)^y 1 2 1 0|((!y)) 0 3 2 x 0 2 2 (y|1^x) 0 2 1 ((!0)|y) 0 1
output:
8 64 0
result:
ok single line: '8 64 0'
Test #15:
score: 0
Accepted
time: 0ms
memory: 4016kb
input:
0 3 1
output:
8 64 0
result:
ok single line: '8 64 0'